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Finding the Fourth Proportional to 2,524.32, 3,787.02 and 1,429.20

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Solution

The fourth proportional to 2,524.32, 3,787.02 and 1,429.20 is: 2,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.32 : 3,787.02 = 1,429.20 : x
  2. Step 2: Convert to fraction form
    2,524.32/3,787.02 = 1,429.20/x
  3. Step 3: Cross multiply
    2,524.32x = 3,787.02 × 1,429.20
  4. Step 4: Simplify right side
    2,524.32x = 5,412,408.98
  5. Step 5: Solve for x
    x = 5,412,408.98/2,524.32
  6. Step 6: Final answer
    x = 2,144.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.